Elliptic curves over $\Q$ of conductor 2888

Results (6 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
2888.a1	2888e1	2888.a	2888e	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{10} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$5.890280682$	$1$		$2$	$19152$	$1.781502$	$-722$	$[0, -1, 0, -43440, 6433996]$	\(y^2=x^3-x^2-43440x+6433996\)
2888.b1	2888c1	2888.b	2888c	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.969972136$	$1$		$2$	$2880$	$1.055040$	$-31250/19$	$[0, -1, 0, -3008, 91948]$	\(y^2=x^3-x^2-3008x+91948\)
2888.c1	2888d1	2888.c	2888d	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( 2^{4} \cdot 19^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	2.2.0.1, 5.5.0.1	2Cn, 5S4	$1.535529438$	$1$		$0$	$504$	$0.036767$	$1462911232$	$[0, -1, 0, -424, -3223]$	\(y^2=x^3-x^2-424x-3223\)
2888.d1	2888b1	2888.d	2888b	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( - 2^{11} \cdot 19^{4} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2$	8.2.0.1		$4.590094418$	$1$		$2$	$1008$	$0.309282$	$-722$	$[0, 1, 0, -120, -976]$	\(y^2=x^3+x^2-120x-976\)
2888.e1	2888a1	2888.e	2888a	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( 2^{4} \cdot 19^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$		✓	$2, 5$	4.4.0.2, 5.5.0.1	2Cn, 5S4	$0.861382156$	$1$		$2$	$9576$	$1.508987$	$1462911232$	$[0, 1, 0, -153184, 23025409]$	\(y^2=x^3+x^2-153184x+23025409\)
2888.f1	2888f1	2888.f	2888f	$1$	$1$	\( 2^{3} \cdot 19^{2} \)	\( - 2^{8} \cdot 19^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.166536130$	$1$		$2$	$2880$	$0.860741$	$-1024/19$	$[0, -1, 0, -481, -23211]$	\(y^2=x^3-x^2-481x-23211\)